de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1 to t of 3/(x^3)

Lösung

\int_{1}^{t} \frac{3}{x ^{3}} d x

Lösung

3 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

Schritte zur Lösung

\int_{1}^{t} \frac{3}{x ^{3}} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{1}^{t} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 3 [- \frac{1}{2 x ^{2}}]_{1}^{t}

Berechne die Grenzen:

- \frac{1}{2 t ^{2}} + \frac{1}{2}

= 3 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

Beliebte Beispiele

integral of 1/(9x^2+4)

\int \frac{1}{9 x ^{2} + 4} d x

integral from-x to x of t^3

\int_{- x}^{x} t^{3} d t

derivative of 2x^3-4x+5

\frac{d}{d x} (2 x^{3} - 4 x + 5)

derivative t/(t-1)

d er i v a t i v e \frac{t}{t - 1}

(1+cos(t))y^'=(1+e-y)sin(t)

(1 + cos (t)) y^{^{'}} = (1 + e - y) sin (t)